Step 1 :Let the weight of the empty bowl be \(b\) grams and the weight of the sugar be \(s\) grams.
Step 2 :The first set of scales gives us the equation \(b = x\), where \(x\) is the reading on the first set of scales.
Step 3 :The second set of scales gives us the equation \(b + s = y\), where \(y\) is the reading on the second set of scales.
Step 4 :We are looking for the value of \(s\), which is equal to \(y - x\).
Step 5 :Subtract the first equation from the second to get \(s = y - x\).
Step 6 :Substitute the values of \(x\) and \(y\) from the scales into the equation to get the weight of the sugar.
Step 7 :Therefore, the weight of the sugar is \(\boxed{y - x}\) grams.